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Finding the Third Proportional to 2,201,617 and 3,100,361

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Solution

The third proportional to 2,201,617 and 3,100,361 is: 4,365,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201,617 : 3,100,361 = 3,100,361 : x
  2. Step 2: Convert to fraction form
    2,201,617/3,100,361 = 3,100,361/x
  3. Step 3: Cross multiply
    2,201,617x = 3,100,361 × 3,100,361
  4. Step 4: Simplify right side
    2,201,617x = 9,612,238,330,321
  5. Step 5: Solve for x
    x = 9,612,238,330,321/2,201,617
  6. Step 6: Final answer
    x = 4,365,990.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.